Answers
Answer:
correct option is B) 2
Step-by-step explanation:
Slope of line is calculated by formula :-
Suppose two points on line are [tex](x_1, y_1) and (x_2 ,y_2)[/tex] then slope 'm' is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
We can see two points on line of graph are :- (-1, -4) and (2,2)
then slope will be calculated as,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
since [tex]x_1 = -1, x_2 =2, y_1=-4\;and\; y_2=2[/tex]
now, put in formula
[tex]m=\frac{2-(-4)}{2-(-1)}[/tex]
[tex]m=\frac{2+4}{2+1}[/tex]
[tex]m=\frac{6}{3}[/tex]
[tex]m=2[/tex]
Hence, slope is 2 of the provided graph.
Therefore, correct option is B) 2
Related Questions
I need help with #18 c-i
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d - x intercepts
e - it's 4 due to that 4 is shown where x=0 on the graph
f - y intercept
g - Since x>0, we do 4-x^2. x=1, and 1^2=1, so 4-1=3. 1 is x and 3 is f(x), or y, so the coordinates are (1,3)
h - Since it's <0, -1+4=3, and since 3 is the output the coordinates are (-1,3)
i - Since -3 <0, we do -3+4=1
The sum of 2 numbers is 7. if one number is subtracted from the other, the result is -1. find the numbers
Answers
Given,
x + y = 7
x = 7 - y
Also given,
x - y = -1
7 - y - y = -1
-2y = -8
y = 4
x = 7 - y = 7 - 3 = 4
Hence, the numbers are 3 and 4.
Given the function f(x) = log3(x + 4), find the value of f−1(3
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y = log(3x + 12)
e^y = 3x + 12
3x = e^y - 12
x = 1/3 (e^y - 12)
Now, swap x and y:
f ⁻¹ (x) = y = 1/3 (e^x - 12)
Secondly and finally, substitute 3 into this eq'n:
f ⁻¹ (3) = 1/3 (e³ -12) = 2.695.....
so 2.695 (to 4 sig.figs/ 3 d.ps)
or if asked for an exact answer then it is just: 1/3 (e³ -12), which can be simplfied to 1/3e³ - 4.
Answer:
23
Step-by-step explanation:
Given : [tex]f(x) = log_3(x + 4)[/tex]
To Find: [tex]f^{-1}(3)[/tex]
Solution:
[tex]y = log_3(x + 4)[/tex]
Replace y with x and x with y
[tex]x = log_3(y + 4)[/tex]
[tex]3^x = y + 4[/tex]
[tex]3^x-4 = y [/tex]
So, [tex]f^{-1}(x)=3^x-4[/tex]
Now substitute x= 3
[tex]f^{-1}(3)=3^(3)-4 [/tex]
[tex]f^{-1}(3)=27-4 [/tex]
[tex]f^{-1}(3)=23[/tex]
Hence the value of [tex]f^{-1}(3)[/tex] is 23
Can someone help me
Answers
2.89-2.84 = 0.05 cent increase
0.05/2.84 = 0.0176
0.0176 = 1.8% increase
= (2.89 - 2.84) / 2.84...* 100
= 0.05 / 2.84....* 100
= 0.0176 ...* 100
= 1.76 rounds to 1.8% <===
Use Gauss-Jordan elimination to solve the following linear system: 5x – 2y = –2 –x + 4y = 4 A. (–6,–5) B. (2,0) C. (0,1) D. (–1,0)
Answers
The answer is C.(0,1)
5x - 2y = -2 -x + 4y = 4
5(0) - 2(1) = -2 -(0) + 4(1) = 4
When a line has an undefined slope what will any two points on the line have in common
Answers
Good luck and have a nice day.
For large parties, a restaurant adds a 15% service charge to the bill. how much would be added to a bill of $638.40?
Answers
The service charge accounts for a fixed percentage of your total expenses. If your total expenses amount to $638.40, then the service charge would be equal to 638.4(0.15) = $95.7. Therefore, $95.7 will be added to your original bill.
Answer:
Service charge added to a bill of $638.40 is $95.76 .
Step-by-step explanation:
As given
For large parties, a restaurant adds a 15% service charge to the bill.
Bill of the parties is $638.40 .
15% is written in the decimal form
[tex]= \frac{15}{100}[/tex]
= 0.15
Thus
Service charge = 0.15 × Bill of the parties .
= 0.15 × $638.40
= $ 95.76
Therefore service charge added to a bill of $638.40 is $95.76 .
The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6.
Applying Newton's cooling model, the temperature of the tea after 2 hours will be ___
ºF. round to the nearest integer.
Answers
Newton's Law of Cooling states that the change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
109 degrees
Step-by-step explanation:
The variable Z is inversely proportional to X. When X is 6, Z has the value 2. What is the value of z . When x = 13
Round to at least the thousandths place if needed.
Answers
z α 1/x
hence;
z=k/x
where:
k is the constant of proportionality;
when x=6, z=2
therefore;
2=k/6
hence;
k=2*6=12
Therefore:
z=12/x
the value of z when x=13 will be:
z=12/13
the answer is 12/13
A student performed the following steps to find the solution to the equation x^2-2x-8=0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x-2)
Step 2. x-4=0 and x-2=0
Step 3. x=4 and x=3
A. The student did not make any mistakes, the solution is correct
B. in step 1
C. in step 2
D. in step 3
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(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)
Identify the cross section shown.
circle
trapezoid
rectangle
pentagon
Answers
The cross section shown in the picture below include the following: B. rectangle.
In Mathematics and Euclidean Geometry, a rectangle refers to a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.
Generally speaking, a circle has no edge or sides. A trapezoid is a type of quadrilateral that has one pair of parallel sides and one pair of non-parallel sides. Additionally, a pentagon is a regular polygon that comprises 5 sides.
By critically observing the cross section shown in the picture below, we can logically deduce that it represents a rectangle because its opposite sides are equal.
A line passes through the point (-8,3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.
Answers
3 = 5/4(-8) + b
3 = -10 + b
b= 13
equation
y = 5/4x + 13
y - 3 = (5/4) ( x + 8)
y - 3 = 5/4x + 10
add 3 to both sides
y = 5/4 x + 13
Quadrilateral ABCD is a parallelogram. ,  bisects , and . What is the best name for quadrilateral ABCD?
A.
rectangle
C.
isosceles trapezoid
B.
rhombus
Answers
For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the
Answers
Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.
Answer: 2
Step-by-step explanation: this answer is 100% correct for edge.nuity
A surface on which all points are at the same potential is referred to as
Answers
A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row.What is the greatest possible number of pansies in each row?
Answers
The factors of 27 are (3,9)
Therefore,
Either (a) plant 3 pansies in 9 rows, or
(b) plant 9 pansies in 3 rows.
There are 36 daisies.
The factors of 36 are (3,12), (6,6) or (9,4).
Therefore
Either (a) plant 3 daisies in 12 rows, or
(b) plant 12 daisies in 3 rows, or
(c) plant 6 daisies in 6 rows, or
(d) plant 9 daisies in 4 rows, or
(e) plant 4 daisies in 9 rows.
Because each row has an equal number of pansies and daisies, the only common arrangements are
(a) 9 pansies and 12 daisies in 3 rows, or
(b) 3 pansies and 4 daisies in 9 rows.
To have the greatest number of daisies in each row means planting 9 pansies and 12 daisies in 3 rows.
Answer:
The greatest number of pansies per row is 9.
Plant 9 pansies and 12 daisies in 3 rows.
Evaluate f(x) when x=9
Answers
answer
12
f(x) in that range is equal to 12
so f(9)=12
Evaluate. 5.4 - 1.3
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The rectangle below has an area of x^2-15x+56 x 2 −15x+56 x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters. what expression represents the width of the rectangle
Answers
The expression that represents the width of the rectangle is x - 8
Area of a rectangle:area = lwl = length
w = width
area = x² + 15x + 56
length = x - 7
Therefore,
x² - 15x + 56 = (x - 7) w
divide both sides by x - 7
w = x² - 15x + 56 / x - 7
w = (x - 7)(x - 8) / x - 7
w = x - 8
learn more on rectangle here: https://brainly.com/question/4529723
A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contains four shirts one each in the colors black, navy, red, gray. Melanie has to get dressed in the dark, so she grabs A pair of shorts and a T-shirt at random. What is the probability that she selects a green pair shorts and a gray T-shirt?
(First of all, Melanie, you should really get a lamp. And second why is it you own more shorts than shirts?)
Answers
---------------------------------------------------------------------
---------------------------------------------------------------------
Work Shown:
A = selects green pair of shorts
B = selects gray t-shirt
P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4
P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24
Note: The fraction 1/24 is approximately equal to 0.041667
What is the equation of the line?
Answers
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find two ordered pairs and plug them into the slope formula.
After looking at the graph, I found two points: (0, 1) and (4, 4)
[tex]\frac{4 - 1}{4 - 0} = \frac{3}{4}[/tex]
Now find where the line intersects the y-axis.
After looking at the graph, I found out that the line intercepts the y-axis at
(0, 1)
Now build the slope-intercept equation.
General form: y = mx + b
Where m is the slope and b the y-intercept
So, the answer is y = 3/4m + 1
Can you use the ASA Postulate or the AAS Theorem to prove the triangles congruent?
Answers
Answer:
ASA only
Step-by-step explanation:
Given is a picture of two triangles with one side and one angle congruent.
Comparison of these two triangles given
side = side
one angle = one angle (given)
Second angle = second angle (Vertically opposite angles)
Thus we find here that two angles and one corresponding side are congruent.
HEnce we say that these two triangles are congruent by ASA theorem
ASA theorem can be applied here because the equal side is between the two congruent angles.
Instead if the side is not between the congruent angles but corresponding side then we can only use AAS
SO here ASA is correct.
Answer:
ASA only
Step-by-step explanation:
We are given that two triangles in which
An angle of triangle is equal to its corresponding angle of second triangle.
One side of a triangle is equal to one side of other triangle.
ASA postulate: It states that two angles and included side of one triangle are congruent to its corresponding angles and corresponding side of other triangle , then the two triangles are congruent.
AAS postulate: It states that two angles and non- included side of one triangle are congruent to its corresponding two angles and its corresponding side of another triangle, then the triangles are congruent by AAS postulate.
In triangle AOB and COD
[tex]\angle AOB= \angle COD[/tex] (Vertical angles are equal )
[tex]\angle ABO=\angle CDO[/tex] ( Given )
[tex]OB=OD[/tex] (Given )
[tex]\triangle AOB\cong \triangle COD[/tex] ( ASA Postulate )
Answer: ASA only
Which is a counterexample that disproves the conjecture? After completing several multiplication problems, a student concludes that the product of two binomials is always a trinomial.
Answers
(x + a) * (x - a) = x^2 - a^2
For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
Solve cos x +sqrt2 = -cos x for x over the interval (0,2pi) .
Answers
Final answer:
The equation cos x + sqrt(2) = -cos x is solved by combining like terms and isolating cos x, resulting in the solutions x = 3π/4 and 5π/4 over the interval (0,2π).
Explanation:
To solve the equation cos x + sqrt(2) = -cos x for x over the interval (0,2π), first combine like terms by adding cos x to both sides of the equation, resulting in:
2 cos x + sqrt(2) = 0
Isolate cos x by subtracting sqrt(2) from both sides:
2 cos x = -sqrt(2)
Divide both sides by 2 to solve for cos x:
cos x = -sqrt(2)/2
The value of cos x = -sqrt(2)/2 corresponds to angles in the second and third quadrants. So, the solutions for x in the interval (0,2π) are:
x = 3π/4, 5π/4
What is the image of point (0,3) for mapping (x,y) (x-2,y-3)
Answers
Find the greatest common factor of the following monomials 28g5h2 12g6h5
Also explain step by step how to solve these problems please
Answers
first, we find the GCF of the coefficients 28 and 12. What is the highest number that will go into both 28 and 12 evenly ? That number is going to be 4.
now, we look at our variables....to find the GCF of the variables, pick the lowest exponent.
another words, the lowest exponent of ur variable h is h^2...and the lowest exponent of ur variable g is g^5
therefore, the GCF of these monomials is : 4h^2g^5
Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, 8>, v = <-4, 8>
Answers
Answer: 5.4 degrees
Step-by-step explanation:
look up online "how to find the angle between 2 vectors, and it'll show you how"
You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you have in the account after 15 years? Round your answer to the nearest whole number.
Answers
A=p (1+r/k)^kt
A future value?
P present value 2000
R interest rate 0.06
K compounded daily 365
T time 15 years
A=2,000×(1+0.06÷365)^(365×15)
A=4,918.84
What is the answer and steps if x=6
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[tex]Then....[/tex]
[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]
Two containers, one for 3 liters and one for 5 liters, how would you measure 4 liters
Answers
Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.
Now fill the 5-liter container again, then pour water carefully from the 5-liter container into the 3-liter container until it is full - exactly one more liter.
The 5-liter container now has 4 liters in it.